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Finding the Fourth Proportional to 391,243.20, 585,021.60 and 291,710.40

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Solution

The fourth proportional to 391,243.20, 585,021.60 and 291,710.40 is: 436,191.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,243.20 : 585,021.60 = 291,710.40 : x
  2. Step 2: Convert to fraction form
    391,243.20/585,021.60 = 291,710.40/x
  3. Step 3: Cross multiply
    391,243.20x = 585,021.60 × 291,710.40
  4. Step 4: Simplify right side
    391,243.20x = 170,656,884,944.64
  5. Step 5: Solve for x
    x = 170,656,884,944.64/391,243.20
  6. Step 6: Final answer
    x = 436,191.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.